Pith Number

pith:TCXSVJPL

pith:2012:TCXSVJPLRELD5SC6A3UG4ZPI56

not attested not anchored not stored refs pending

On the consistency of the combinatorial codifferential

Douglas N. Arnold, Gantumur Tsogtgerel, Johnny Guzm\'an, Richard S. Falk

arxiv:1212.4472 v2 · 2012-12-18 · math.DG · math.AT · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCXSVJPLRELD5SC6A3UG4ZPI56}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:01:11.048402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98af2aa5eb89163ec85e06e86e65e8ef9748b8be31ebfba688373d08091dbcff

Aliases

arxiv: 1212.4472 · arxiv_version: 1212.4472v2 · doi: 10.48550/arxiv.1212.4472 · pith_short_12: TCXSVJPLRELD · pith_short_16: TCXSVJPLRELD5SC6 · pith_short_8: TCXSVJPL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TCXSVJPLRELD5SC6A3UG4ZPI56 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98af2aa5eb89163ec85e06e86e65e8ef9748b8be31ebfba688373d08091dbcff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b0dcffef41211a1cd4cd071328d53a0673c0c33fd20eacc877bafdf01d86bb",
    "cross_cats_sorted": [
      "math.AT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-18T19:59:29Z",
    "title_canon_sha256": "5e06ea8ba3670c274d30df7c32aaaca0afd954207c0c2689c1b1c1181faed35d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4472",
    "kind": "arxiv",
    "version": 2
  }
}